annotate liboctave/dbleSCHUR.cc @ 1929:908f5b6676d7

[project @ 1996-02-11 22:05:08 by jwe]
author jwe
date Sun, 11 Feb 1996 22:05:23 +0000
parents 1281a23a34dd
children d20ab06301e8
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
1 // -*- C++ -*-
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
2 /*
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
3
1882
1281a23a34dd [project @ 1996-02-05 18:11:52 by jwe]
jwe
parents: 1847
diff changeset
4 Copyright (C) 1996 John W. Eaton
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
5
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
6 This file is part of Octave.
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
7
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
8 Octave is free software; you can redistribute it and/or modify it
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
9 under the terms of the GNU General Public License as published by the
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
10 Free Software Foundation; either version 2, or (at your option) any
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
11 later version.
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
12
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
13 Octave is distributed in the hope that it will be useful, but WITHOUT
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
16 for more details.
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
17
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
18 You should have received a copy of the GNU General Public License
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
19 along with Octave; see the file COPYING. If not, write to the Free
1315
611d403c7f3d [project @ 1995-06-25 19:56:32 by jwe]
jwe
parents: 1296
diff changeset
20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
21
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
22 */
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
23
1296
f93b7fa5e113 [project @ 1995-05-01 18:30:08 by jwe]
jwe
parents: 1253
diff changeset
24 #if defined (__GNUG__)
f93b7fa5e113 [project @ 1995-05-01 18:30:08 by jwe]
jwe
parents: 1253
diff changeset
25 #pragma implementation
f93b7fa5e113 [project @ 1995-05-01 18:30:08 by jwe]
jwe
parents: 1253
diff changeset
26 #endif
f93b7fa5e113 [project @ 1995-05-01 18:30:08 by jwe]
jwe
parents: 1253
diff changeset
27
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
28 #ifdef HAVE_CONFIG_H
1192
b6360f2d4fa6 [project @ 1995-03-30 21:38:35 by jwe]
jwe
parents: 1011
diff changeset
29 #include <config.h>
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
30 #endif
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
31
1631
b0b22b6ce22f [project @ 1995-11-14 20:24:15 by jwe]
jwe
parents: 1486
diff changeset
32 #include <iostream.h>
b0b22b6ce22f [project @ 1995-11-14 20:24:15 by jwe]
jwe
parents: 1486
diff changeset
33
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
34 #include "dbleSCHUR.h"
1847
2ffe49eb95a5 [project @ 1996-02-03 12:47:55 by jwe]
jwe
parents: 1756
diff changeset
35 #include "f77-fcn.h"
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
36 #include "lo-error.h"
1368
33bb7975f866 [project @ 1995-09-06 00:12:48 by jwe]
jwe
parents: 1360
diff changeset
37 #include "mx-inlines.cc"
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
38
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
39 extern "C"
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
40 {
1253
bb67a902760b [project @ 1995-04-11 16:35:23 by jwe]
jwe
parents: 1251
diff changeset
41 int F77_FCN (dgeesx, DGEESX) (const char*, const char*,
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
42 SCHUR::select_function, const char*,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
43 const int&, double*, const int&,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
44 int&, double*, double*, double*,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
45 const int&, double&, double&, double*,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
46 const int&, int*, const int&, int*,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
47 int&, long, long);
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
48 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
49
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
50 static int
1486
232dbc2460c0 [project @ 1995-09-26 09:39:31 by jwe]
jwe
parents: 1368
diff changeset
51 select_ana (const double& a, const double&)
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
52 {
1251
97eac19837dc [project @ 1995-04-11 15:58:32 by jwe]
jwe
parents: 1192
diff changeset
53 return (a < 0.0);
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
54 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
55
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
56 static int
1251
97eac19837dc [project @ 1995-04-11 15:58:32 by jwe]
jwe
parents: 1192
diff changeset
57 select_dig (const double& a, const double& b)
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
58 {
1251
97eac19837dc [project @ 1995-04-11 15:58:32 by jwe]
jwe
parents: 1192
diff changeset
59 return (hypot (a, b) < 1.0);
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
60 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
61
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
62 int
1756
1af643fa00e3 [project @ 1996-01-22 04:55:17 by jwe]
jwe
parents: 1631
diff changeset
63 SCHUR::init (const Matrix& a, const string& ord)
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
64 {
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
65 int a_nr = a.rows ();
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
66 int a_nc = a.cols ();
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
67
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
68 if (a_nr != a_nc)
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
69 {
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
70 (*current_liboctave_error_handler) ("SCHUR requires square matrix");
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
71 return -1;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
72 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
73
1251
97eac19837dc [project @ 1995-04-11 15:58:32 by jwe]
jwe
parents: 1192
diff changeset
74 char *jobvs = "V";
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
75 char *sense = "N";
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
76 char *sort = "N";
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
77
1756
1af643fa00e3 [project @ 1996-01-22 04:55:17 by jwe]
jwe
parents: 1631
diff changeset
78 char ord_char = ord.empty () ? 'U' : ord[0];
1af643fa00e3 [project @ 1996-01-22 04:55:17 by jwe]
jwe
parents: 1631
diff changeset
79
1af643fa00e3 [project @ 1996-01-22 04:55:17 by jwe]
jwe
parents: 1631
diff changeset
80 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd')
1251
97eac19837dc [project @ 1995-04-11 15:58:32 by jwe]
jwe
parents: 1192
diff changeset
81 sort = "S";
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
82
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
83 select_function selector = 0;
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
84 if (ord_char == 'A' || ord_char == 'a')
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
85 selector = select_ana;
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
86 else if (ord_char == 'D' || ord_char == 'd')
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
87 selector = select_dig;
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
88
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
89 int n = a_nc;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
90 int lwork = 8 * n;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
91 int liwork = 1;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
92 int info;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
93 int sdim;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
94 double rconde;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
95 double rcondv;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
96
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
97 schur_mat = a;
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
98 unitary_mat.resize (n, n);
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
99
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
100 double *s = schur_mat.fortran_vec ();
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
101 double *q = unitary_mat.fortran_vec ();
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
102
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
103 Array<double> wr (n);
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
104 double *pwr = wr.fortran_vec ();
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
105
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
106 Array<double> wi (n);
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
107 double *pwi = wi.fortran_vec ();
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
108
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
109 Array<double> work (lwork);
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
110 double *pwork = work.fortran_vec ();
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
111
1360
7eb93d12654c [project @ 1995-09-05 21:51:54 by jwe]
jwe
parents: 1315
diff changeset
112 // These are not referenced for the non-ordered Schur routine.
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
113
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
114 Array<int> bwork;
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
115 Array<int> iwork;
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
116
1756
1af643fa00e3 [project @ 1996-01-22 04:55:17 by jwe]
jwe
parents: 1631
diff changeset
117 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd')
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
118 {
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
119 bwork.resize (n);
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
120 iwork.resize (liwork);
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
121 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
122
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
123 int *pbwork = bwork.fortran_vec ();
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
124 int *piwork = iwork.fortran_vec ();
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
125
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
126
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
127 F77_XFCN (dgeesx, DGEESX, (jobvs, sort, selector, sense, n, s,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
128 n, sdim, pwr, pwi, q, n, rconde, rcondv,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
129 pwork, lwork, piwork, liwork, pbwork,
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
130 info, 1L, 1L));
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
131
1929
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
132 if (f77_exception_encountered)
908f5b6676d7 [project @ 1996-02-11 22:05:08 by jwe]
jwe
parents: 1882
diff changeset
133 (*current_liboctave_error_handler) ("unrecoverable error in dgeesx");
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
134
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
135 return info;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
136 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
137
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
138 ostream&
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
139 operator << (ostream& os, const SCHUR& a)
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
140 {
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
141 os << a.schur_matrix () << "\n";
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
142 os << a.unitary_matrix () << "\n";
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
143
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
144 return os;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
145 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
146
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
147 /*
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
148 ;;; Local Variables: ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
149 ;;; mode: C++ ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
150 ;;; page-delimiter: "^/\\*" ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
151 ;;; End: ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
152 */